The distance of the point A (12, 5) from the origin is:

Options

A. 17 units
B. 7 units
C. 13 units
D. 15 units

Answer

To find the distance of the point A (12, 5) from the origin (0, 0), we can use the distance formula. The distance formula between two points (x1, y1) and (x2, y2) is given by:

\[ d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]

### Step-by-step Solution:

1. **Identify the Coordinates**:
- The coordinates of point A are (12, 5).
- The coordinates of the origin are (0, 0).

2. **Assign Values**:
- Let (x1, y1) = (0, 0) (the origin).
- Let (x2, y2) = (12, 5) (point A).

3. **Substitute into the Distance Formula**:
\[ d = \sqrt{(x2 - x1)^2 + (y2 - y1)^2} \]
Substituting the values:
\[ d = \sqrt{(12 - 0)^2 + (5 - 0)^2} \]

4. **Calculate the Differences**:
- Calculate \( (12 - 0) = 12 \)
- Calculate \( (5 - 0) = 5 \)

5. **Square the Differences**:
\[ d = \sqrt{12^2 + 5^2} \]
- Calculate \( 12^2 = 144 \)
- Calculate \( 5^2 = 25 \)

6. **Add the Squares**:
\[ d = \sqrt{144 + 25} \]
\[ d = \sqrt{169} \]

7. **Calculate the Square Root**:
\[ d = 13 \]

### Final Answer:
The distance of the point A (12, 5) from the origin is **13 units**.